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Finding the Fourth Proportional to 138,850.25, 191,613.01 and 75,188.05

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Solution

The fourth proportional to 138,850.25, 191,613.01 and 75,188.05 is: 103,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.25 : 191,613.01 = 75,188.05 : x
  2. Step 2: Convert to fraction form
    138,850.25/191,613.01 = 75,188.05/x
  3. Step 3: Cross multiply
    138,850.25x = 191,613.01 × 75,188.05
  4. Step 4: Simplify right side
    138,850.25x = 14,407,008,050.51
  5. Step 5: Solve for x
    x = 14,407,008,050.51/138,850.25
  6. Step 6: Final answer
    x = 103,759.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.